Basic Math Examples

$(3 p^{3} - 5 + 3 p^{4}) - (6 + p^{4} - 7 p^{3})$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 p^{3} - 5 + 3 p^{4} - 1 \cdot 6 - p^{4} - (- 7 p^{3})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $6$ .

$3 p^{3} - 5 + 3 p^{4} - 6 - p^{4} - (- 7 p^{3})$

Step 1.2.2

Multiply $- 7$ by $- 1$ .

$3 p^{3} - 5 + 3 p^{4} - 6 - p^{4} + 7 p^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $3 p^{3}$ and $7 p^{3}$ .

$10 p^{3} - 5 + 3 p^{4} - 6 - p^{4}$

Step 2.2

Subtract $6$ from $- 5$ .

$10 p^{3} + 3 p^{4} - 11 - p^{4}$

Step 2.3

Subtract $p^{4}$ from $3 p^{4}$ .

$10 p^{3} + 2 p^{4} - 11$

Step 2.4

Reorder $10 p^{3}$ and $2 p^{4}$ .

$2 p^{4} + 10 p^{3} - 11$